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Finding the Fourth Proportional to 650,999.70, 976,499.55 and 414,512.10

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Solution

The fourth proportional to 650,999.70, 976,499.55 and 414,512.10 is: 621,768.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,999.70 : 976,499.55 = 414,512.10 : x
  2. Step 2: Convert to fraction form
    650,999.70/976,499.55 = 414,512.10/x
  3. Step 3: Cross multiply
    650,999.70x = 976,499.55 × 414,512.10
  4. Step 4: Simplify right side
    650,999.70x = 404,770,879,119.56
  5. Step 5: Solve for x
    x = 404,770,879,119.56/650,999.70
  6. Step 6: Final answer
    x = 621,768.15

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.